Long-Range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions

We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with its nearest neighbors in a certain angle around its current orientation, i.e., its "vision cone." Using energetic arguments and Monte Carlo simulations, we show that a true long-range ordered phase emer...

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Bibliographic Details
Published inPhysical review letters Vol. 130; no. 19; p. 198301
Main Authors Loos, Sarah A M, Klapp, Sabine H L, Martynec, Thomas
Format Journal Article
LanguageEnglish
Published United States 12.05.2023
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Summary:We study a two-dimensional, nonreciprocal XY model, where each spin interacts only with its nearest neighbors in a certain angle around its current orientation, i.e., its "vision cone." Using energetic arguments and Monte Carlo simulations, we show that a true long-range ordered phase emerges. A necessary ingredient is a configuration-dependent bond dilution entailed by the vision cones. Strikingly, defects propagate in a directional manner, thereby breaking the parity and time-reversal symmetry of the spin dynamics. This is detectable by a nonzero entropy production rate.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.130.198301